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The comparison population is represented by the national statistics from 2009 with a population mean of 13.50 minutes of commercials during a one-hour program. The population standard deviation is not provided so it needs to be estimated from the sample. The population mean is estimated with the sample mean. Use the sample data below to calculate the sample mean (estimated population mean) and the estimated population standard deviation. TV Network 1 2 3 4 5 6 7 8 9 Commercial time per hour 13 13.5 15 14.25 14.5 14.25 13.25 16 16.75

The comparison population is represented by the national statistics from 2009 with a population mean of 13.50 minutes of commercials during a one-hour program. The population standard deviation is not provided so it needs to be estimated from the sample. The population mean is estimated with the sample mean. Use the sample data below to calculate the sample mean (estimated population mean) and the estimated population standard deviation. TV Network 1 2 3 4 5 6 7 8 9 Commercial time per hour 13 13.5 15 14.25 14.5 14.25 13.25 16 16.75

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Use the provided information to calculate the t statistic and critical t values.
The comparison population is represented by the national statistics from 2009 with a population mean of 13.50 minutes of commercials during a one-hour program. The population standard deviation is not provided so it needs to be estimated from the sample. The population mean is estimated with the sample mean. Use the sample data below to calculate the sample mean (estimated population mean) and the estimated population standard deviation. TV Network 1 2 3 4 5 6 7 8 9 Commercial time per hour 13 13.5 15 14.25 14.5 14.25 13.25 16 16.75
Transcribed Image Text:The comparison population is represented by the national statistics from 2009 with a population mean of 13.50 minutes of commercials during a one-hour program. The population standard deviation is not provided so it needs to be estimated from the sample. The population mean is estimated with the sample mean. Use the sample data below to calculate the sample mean (estimated population mean) and the estimated population standard deviation. TV Network 1 2 3 4 5 6 7 8 9 Commercial time per hour 13 13.5 15 14.25 14.5 14.25 13.25 16 16.75
According to the national statistics from 2009, the broadcast networks in American averaged 13.50 minutes of commercials during a one-hour program. I was curious whether the commercial time is significantly different now (2018) compared to 2009. So I measured the commercial time during a one-hour period during prime time on 9 different networks and recorded the number of minutes. I assume that the commercial time across all the broadcast networks in America is normally distributed and I set the significance level at a = .05.
Transcribed Image Text:According to the national statistics from 2009, the broadcast networks in American averaged 13.50 minutes of commercials during a one-hour program. I was curious whether the commercial time is significantly different now (2018) compared to 2009. So I measured the commercial time during a one-hour period during prime time on 9 different networks and recorded the number of minutes. I assume that the commercial time across all the broadcast networks in America is normally distributed and I set the significance level at a = .05.
Expert Solution
Step 1
TV Network Commercial time per hour (x-average) (x-average)2
1 13 -1.5 2.25
2 13.5 -1 1
3 15 0.5 0.25
4 14.25 -0.25 0.0625
5 14.5 0 0
6 14.25 -0.25 0.0625
7 13.25 -1.25 1.5625
8 16 1.5 2.25
9 16.75 2.25 5.0625
Sum 130.5   12.5
average 14.5    

x = 1n∑i=1nxi    =130.59x = 14.5

S2 = 1n-1∑i=1n(xi - x)2    =19-1*12.5    = 18*12.5S2 =1.5625S =1.25

 

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